GCF and LCM Calculator Logo

What is the Least Common Multiple of 67346 and 67360?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 67346 and 67360 is 2268213280.

LCM(67346,67360) = 2268213280

LCM Calculator and
and

Least Common Multiple of 67346 and 67360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67346 and 67360, than apply into the LCM equation.

GCF(67346,67360) = 2
LCM(67346,67360) = ( 67346 × 67360) / 2
LCM(67346,67360) = 4536426560 / 2
LCM(67346,67360) = 2268213280

Least Common Multiple (LCM) of 67346 and 67360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67346 and 67360. First we will calculate the prime factors of 67346 and 67360.

Prime Factorization of 67346

Prime factors of 67346 are 2, 151, 223. Prime factorization of 67346 in exponential form is:

67346 = 21 × 1511 × 2231

Prime Factorization of 67360

Prime factors of 67360 are 2, 5, 421. Prime factorization of 67360 in exponential form is:

67360 = 25 × 51 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 67346 and 67360.

LCM(67346,67360) = 25 × 1511 × 2231 × 51 × 4211
LCM(67346,67360) = 2268213280